The fair place to meet is Kansas City, MO — the city closest to the midpoint of Charlotte and Salt Lake City. From the farther side that’s about 19 hr 21 min of driving.
Recommended midpoint
Kansas City, MO
From Charlotte
16 hr 48 min
801 mi to Kansas City
From Salt Lake City
19 hr 21 min
923 mi to Kansas City
Charlotte has the shorter trip; the split is off by about 2 hr 33 min. The alternatives below can even it out. Charlotte and Salt Lake City are about 1,724 miles apart.
Charlotte and Salt Lake City are about 1,724 miles apart by road. Split the difference and you arrive near Kansas City, the city closest to the halfway point between them. That puts roughly 16 hr 48 min of driving on the Charlotte side and 19 hr 21 min on the Salt Lake City side — the fairest single meeting point among the cities near the middle.
Over this distance most people will fly rather than drive the whole way. Kansas City still makes a fair, central place for Charlotte and Salt Lake City to converge, splitting the travel instead of asking one side to cross the country.
If Kansas City doesn't have what you're after, Oklahoma City and Omaha are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Charlotte and Salt Lake City.
Kansas City, abbreviated KC or KCMO, is the largest city in the U.S. state of Missouri by both population and area. It is located on the Missouri River at its confluence with the Kansas River, within Jackson, Clay, Platte and Cass counties. Read more →
Charlotte is the most populous city in the U.S. state of North Carolina. With a population of 874,579 at the 2020 census, it is the 14th-most populous city in the U.S., seventh-most populous city in the South, and second-most populous city in the Southeast. Read more →
Salt Lake City, often shortened to Salt Lake or SLC, is the capital and most populous city of the U.S. state of Utah. It is the county seat of Salt Lake County, the most populous county in the state. Read more →
City descriptions adapted from Wikipedia (CC BY-SA); photos via Wikimedia Commons, credited above.
Estimates use straight-line distance and typical road speeds; real drive times vary with route and traffic.